Obviously this is a reactionary move, as the revolutionaries in America and Europe were funtamentally opposed to the old thinking that connected the religion of the governing body to the laws that it passed. Bringing in those guys that lived in entirely different times is a classic attempt at rewriting history.
What's even more alarming, however, is the substitution of "democratic" by "constitutional republic". Every kind of state in the absence of a monarch could be construed to be a republic (as in fact it is done in Europe), while democracy (although often abused by totalitarian regimes) literally means "rule of the people". Why would "democratic" be removed? The obvious answer is that they're expressing a preference for the Republican party as opposed to the Democrats, but there also seems to be a trend in the far-right movement to flat out deny that the US is (or should be) a democracy. Glenn Beck recently beat that same drum.
This is what's actually dangerous; the development that people get disenchanted with democracy. It doesn't seem to make a big difference anymore if you vote for a D or R politician, as behind all of them stands the power of huge corporations. At the same time, the government is trying to erase democracy out of children's minds entirely. Perhaps, beside the religious aspect, they sense the danger that some of Jefferson's ideas may pose for them some day: That violence may not only be directed against a so-called "liberal" government, but ultimately against all brazenly self-enriching, undemocratic forces of society.